Surge impedance of microstrip line from frequency¶
The frequency-dependent surge impedance of a microstrip line can be calculated from its frequency-independent surge impedance and effective permittivity.
- surge_impedance¶
surge_impedance
of the microstrip line when frequency dependence is taken into account.
- Symbol:
Z_S
- Latex:
\(Z_\text{S}\)
- Dimension:
impedance
- independent_surge_impedance¶
surge_impedance
of the microstrip line when frequency dependence is omitted.
- Symbol:
Z_S0
- Latex:
\(Z_{\text{S}, 0}\)
- Dimension:
impedance
- effective_permittivity¶
relative_permittivity
of the microstrip line when frequency dependence is taken into account. See Effective permittivity of microstrip line.
- Symbol:
epsilon_eff
- Latex:
\(\varepsilon_\text{eff}\)
- Dimension:
dimensionless
- independent_effective_permittivity¶
relative_permittivity
of the microstrip line when frequency dependence is omitted. See Effective permittivity of microstrip line.
- Symbol:
epsilon_eff0
- Latex:
\(\varepsilon_{\text{eff}, 0}\)
- Dimension:
dimensionless
- law¶
Z_S = Z_S0 * sqrt(epsilon_eff0 / epsilon_eff) * (epsilon_eff - 1) / (epsilon_eff0 - 1)
- Latex:
- \[Z_\text{S} = Z_{\text{S}, 0} \sqrt{\frac{\varepsilon_{\text{eff}, 0}}{\varepsilon_\text{eff}}} \frac{\varepsilon_\text{eff} - 1}{\varepsilon_{\text{eff}, 0} - 1}\]